Greatest Common Factor of 9/85, 18/72, 90/780, 901/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/85, 18/72, 90/780, 901/519

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9/85,18/72,90/780,901/519

Given fractions are 9/85,18/72,90/780,901/519

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9,18,90,901

Greatest Common Factor of Numerators i.e. GCF of 9,18,90,901 is 1 .

LCM of Denominators means LCM of 85,72,780,519 as per the given fractions.

LCM of 85,72,780,519 is 13763880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,18,90,901

GCF of Fractions 9/85,18/72,90/780,901/519 is 1/13763880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9,18,90,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,18,90,901 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 9,18,90,901 . The biggest common factor number is the GCF number.
So the greatest common factor 9,18,90,901 is 1.

Lets's calculate LCM of 85,72,780,519

2 85, 72, 780, 519
2 85, 36, 390, 519
3 85, 18, 195, 519
5 85, 6, 65, 173
17, 6, 13, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 6 x 13 x 173 = 13763880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13763880

Therefore, the GCF of Fractions 9/85,18/72,90/780,901/519 is 1/13763880

Least Common Multiple of 85,72,780,519 with GCF Formula

Least Common Multiple of 85,72,780,519 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,72,780,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,72,780,519) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(85,72,780,519) x common factors =1 x 180 = 180

LCM(85,72,780,519) = ( 85 × 72 × 780 × 519 ) / 180

LCM(85,72,780,519) = 2477498400 / 180

LCM(85,72,780,519) = 13763880


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9/85, 18/72, 90/780, 901/519

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9/85, 18/72, 90/780, 901/519?

Answer: GCF of Numerators as per given numbers 9/85, 18/72, 90/780, 901/519 is

GCF of Numerators i.e. for 9,18,90,901 is 1

LCM of denominators i.e. for 85,72,780,519 is 13763880.

Thus, GCF of Fractions is 1/13763880.Finally, GCF of Fractions for 9/85, 18/72, 90/780, 901/519 is 1/13763880.